If f(x) = x3, which graph represents g(x) = f(x) + 4?

From the attached diagram, it is clear that:

It is clear from the blue line graph, that when we add 4 units to the output of the parent function, it will be shifted 4 units up.

Step-by-step explanation:

Given the function

The graph of the function f(x) is attached below.

We know that when we add the number, let say h, to the function output, it means the graph is shifted 'h' units up.

So, when we add 4 units to the graph f(x), it means the graph will be shifted 4 units up.

Therefore, the graph g(x) = f(x)+4 will be result of shifting 4 units up.

The diagram graph of both f(x) and g(x) is attached below.

From the attached diagram, it is clear that:

It is clear from the blue line graph, that when we add 4 units to the output of the parent function, it will be shifted 4 units up.

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1